157613626316751 has 48 divisors (see below), whose sum is σ = 236374899720960. Its totient is φ = 93297989030400.

The previous prime is 157613626316647. The next prime is 157613626316761.

157613626316751 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 157613626316751 - 2¹⁷ = 157613626185679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157613626316761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391912710 + ... + 392314668.

It is an arithmetic number, because the mean of its divisors is an integer number (4924477077520).

Almost surely, 2^{157613626316751} is an apocalyptic number.

157613626316751 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157613626316751 is a deficient number, since it is larger than the sum of its proper divisors (78761273404209).

157613626316751 is a wasteful number, since it uses less digits than its factorization.

157613626316751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427148 (or 427137 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 60.

The spelling of 157613626316751 in words is "one hundred fifty-seven trillion, six hundred thirteen billion, six hundred twenty-six million, three hundred sixteen thousand, seven hundred fifty-one".