153821880461613 has 256 divisors, whose sum is σ = 272965468160000. Its totient is φ = 76440928193280.

The previous prime is 153821880461597. The next prime is 153821880461617. The reversal of 153821880461613 is 316164088128351.

It is a happy number.

153821880461613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153821880461613 - 2⁴ = 153821880461597 is a prime.

It is a super-2 number, since 2×153821880461613² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153821880461617) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5474269038 + ... + 5474297136.

It is an arithmetic number, because the mean of its divisors is an integer number (1066271360000).

Almost surely, 2^{153821880461613} is an apocalyptic number.

153821880461613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

153821880461613 is a deficient number, since it is larger than the sum of its proper divisors (119143587698387).

153821880461613 is a wasteful number, since it uses less digits than its factorization.

153821880461613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28517 (or 28503 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 153821880461613 in words is "one hundred fifty-three trillion, eight hundred twenty-one billion, eight hundred eighty million, four hundred sixty-one thousand, six hundred thirteen".