6461001725 has 24 divisors (see below), whose sum is σ = 8578279080. Its totient is φ = 4810065920.

The previous prime is 6461001719. The next prime is 6461001731. The reversal of 6461001725 is 5271001646.

It is an interprime number because it is at equal distance from previous prime (6461001719) and next prime (6461001731).

It can be written as a sum of positive squares in 12 ways, for example, as 2092056121 + 4368945604 = 45739^2 + 66098^2 .

It is not a de Polignac number, because 6461001725 - 2²² = 6456807421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6461001691 and 6461001700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47582 + ... + 123231.

It is an arithmetic number, because the mean of its divisors is an integer number (357428295).

Almost surely, 2^6461001725 is an apocalyptic number.

It is an amenable number.

6461001725 is a deficient number, since it is larger than the sum of its proper divisors (2117277355).

6461001725 is a wasteful number, since it uses less digits than its factorization.

6461001725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170929 (or 170924 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 6461001725 is about 80380.3565866686. The cubic root of 6461001725 is about 1862.5157430016.

The spelling of 6461001725 in words is "six billion, four hundred sixty-one million, one thousand, seven hundred twenty-five".