87248753641 has 9 divisors (see below), whose sum is σ = 101495853399. Its totient is φ = 74782873704.

The previous prime is 87248753623. The next prime is 87248753663. The reversal of 87248753641 is 14635784278.

The square root of 87248753641 is 295379.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8173064025 + 79075689616 = 90405^2 + 281204^2 .

It is not a de Polignac number, because 87248753641 - 2¹¹ = 87248751593 is a prime.

It is a super-2 number, since 2×87248753641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87248753611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2046555 + ... + 2088751.

Almost surely, 2^87248753641 is an apocalyptic number.

87248753641 is the 295379-th square number.

87248753641 is the 147690-th centered octagonal number.

It is an amenable number.

87248753641 is a deficient number, since it is larger than the sum of its proper divisors (14247099758).

87248753641 is an frugal number, since it uses more digits than its factorization.

87248753641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84408 (or 42204 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 55.

It can be divided in two parts, 87248 and 753641, that added together give a square (840889 = 917²).

The spelling of 87248753641 in words is "eighty-seven billion, two hundred forty-eight million, seven hundred fifty-three thousand, six hundred forty-one".