10152401313521 has 16 divisors (see below), whose sum is σ = 10270055577600. Its totient is φ = 10035345479040.

The previous prime is 10152401313497. The next prime is 10152401313529. The reversal of 10152401313521 is 12531310425101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10152401313521 - 2²⁶ = 10152334204657 is a prime.

It is a super-2 number, since 2×10152401313521² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10152401313529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417490055 + ... + 417514371.

It is an arithmetic number, because the mean of its divisors is an integer number (641878473600).

Almost surely, 2^{10152401313521} is an apocalyptic number.

It is an amenable number.

10152401313521 is a deficient number, since it is larger than the sum of its proper divisors (117654264079).

10152401313521 is a wasteful number, since it uses less digits than its factorization.

10152401313521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36424.

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 10152401313521 its reverse (12531310425101), we get a palindrome (22683711738622).

The spelling of 10152401313521 in words is "ten trillion, one hundred fifty-two billion, four hundred one million, three hundred thirteen thousand, five hundred twenty-one".