61251 has 8 divisors (see below), whose sum is σ = 86544. Its totient is φ = 38400.

The previous prime is 61231. The next prime is 61253. The reversal of 61251 is 15216.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 61251 - 2¹⁴ = 44867 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 61251.

It is not an unprimeable number, because it can be changed into a prime (61253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (10818).

2⁶¹²⁵¹ is an apocalyptic number.

61251 is a deficient number, since it is larger than the sum of its proper divisors (25293).

61251 is a wasteful number, since it uses less digits than its factorization.

61251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221.

The product of its digits is 60, while the sum is 15.

The square root of 61251 is about 247.4893937121. The cubic root of 61251 is about 39.4188903378.

Adding to 61251 its reverse (15216), we get a palindrome (76467).

The spelling of 61251 in words is "sixty-one thousand, two hundred fifty-one".