2013415410251 has 16 divisors (see below), whose sum is σ = 2463777155520. Its totient is φ = 1606017684480.

The previous prime is 2013415410229. The next prime is 2013415410271. The reversal of 2013415410251 is 1520145143102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2013415410251 - 2³⁰ = 2012341668427 is a prime.

It is a super-2 number, since 2×2013415410251² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013415410271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95042540 + ... + 95063721.

It is an arithmetic number, because the mean of its divisors is an integer number (153986072220).

Almost surely, 2^{2013415410251} is an apocalyptic number.

2013415410251 is a deficient number, since it is larger than the sum of its proper divisors (450361745269).

2013415410251 is a wasteful number, since it uses less digits than its factorization.

2013415410251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190106374.

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 2013415410251 in words is "two trillion, thirteen billion, four hundred fifteen million, four hundred ten thousand, two hundred fifty-one".