52641414625 has 32 divisors (see below), whose sum is σ = 67282555392. Its totient is φ = 41108200000.

The previous prime is 52641414577. The next prime is 52641414673.

52641414625 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (52641414577) and next prime (52641414673).

It is not a de Polignac number, because 52641414625 - 2¹⁵ = 52641381857 is a prime.

It is a super-2 number, since 2×52641414625² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867012 + ... + 925738.

It is an arithmetic number, because the mean of its divisors is an integer number (2102579856).

Almost surely, 2^52641414625 is an apocalyptic number.

It is an amenable number.

52641414625 is a deficient number, since it is larger than the sum of its proper divisors (14641140767).

52641414625 is a wasteful number, since it uses less digits than its factorization.

52641414625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58914 (or 58904 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The spelling of 52641414625 in words is "fifty-two billion, six hundred forty-one million, four hundred fourteen thousand, six hundred twenty-five".