15252961 has 16 divisors (see below), whose sum is σ = 16892928. Its totient is φ = 13708800.

The previous prime is 15252949. The next prime is 15252967. The reversal of 15252961 is 16925251.

It is not a de Polignac number, because 15252961 - 2⁵ = 15252929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15252967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54141 + ... + 54421.

It is an arithmetic number, because the mean of its divisors is an integer number (1055808).

Almost surely, 2^15252961 is an apocalyptic number.

It is an amenable number.

15252961 is a deficient number, since it is larger than the sum of its proper divisors (1639967).

15252961 is a wasteful number, since it uses less digits than its factorization.

15252961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432.

The product of its digits is 5400, while the sum is 31.

The square root of 15252961 is about 3905.5039367539. The cubic root of 15252961 is about 247.9998319891. Note that the first 3 decimals are identical.

Adding to 15252961 its sum of digits (31), we get a cube (15252992 = 248³).

The spelling of 15252961 in words is "fifteen million, two hundred fifty-two thousand, nine hundred sixty-one".