152232232251 has 64 divisors (see below), whose sum is σ = 231357772800. Its totient is φ = 88193011200.

The previous prime is 152232232181. The next prime is 152232232259.

It is a happy number.

152232232251 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 152232232251 - 2¹³ = 152232224059 is a prime.

It is a super-2 number, since 2×152232232251² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152232232259) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42989541 + ... + 42993081.

It is an arithmetic number, because the mean of its divisors is an integer number (3614965200).

Almost surely, 2^152232232251 is an apocalyptic number.

152232232251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152232232251 is a deficient number, since it is larger than the sum of its proper divisors (79125540549).

152232232251 is a wasteful number, since it uses less digits than its factorization.

152232232251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020.

The product of its digits is 14400, while the sum is 30.

It can be divided in two parts, 152232 and 232251, that added together give a palindrome (384483).

The spelling of 152232232251 in words is "one hundred fifty-two billion, two hundred thirty-two million, two hundred thirty-two thousand, two hundred fifty-one".