152121121251 has 32 divisors (see below), whose sum is σ = 226196029440. Its totient is φ = 90157264800.

The previous prime is 152121121211. The next prime is 152121121259.

152121121251 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 152121121251 - 2¹⁴ = 152121104867 is a prime.

It is a super-2 number, since 2×152121121251² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152121121259) by changing a digit.

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, 167346 + ... + 576408.

It is an arithmetic number, because the mean of its divisors is an integer number (7068625920).

Almost surely, 2^152121121251 is an apocalyptic number.

152121121251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152121121251 is a deficient number, since it is larger than the sum of its proper divisors (74074908189).

152121121251 is a wasteful number, since it uses less digits than its factorization.

152121121251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409327.

The product of its digits is 400, while the sum is 24.

It can be divided in two parts, 152121 and 121251, that added together give a palindrome (273372).

The spelling of 152121121251 in words is "one hundred fifty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred fifty-one".