40137313607253 has 80 divisors (see below), whose sum is σ = 61518636343296. Its totient is φ = 26174946262320.

The previous prime is 40137313607231. The next prime is 40137313607273. The reversal of 40137313607253 is 35270631373104.

40137313607253 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 7 + 3 + 13 + 607 + 25 + 3 = 666.

It is not a de Polignac number, because 40137313607253 - 2¹⁸ = 40137313345109 is a prime.

It is a super-2 number, since 2×40137313607253² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40137313607199 and 40137313607208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40137313607273) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1908472848 + ... + 1908493878.

Almost surely, 2^{40137313607253} is an apocalyptic number.

It is an amenable number.

40137313607253 is a deficient number, since it is larger than the sum of its proper divisors (21381322736043).

40137313607253 is an frugal number, since it uses more digits than its factorization.

40137313607253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23168 (or 23144 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 40137313607253 in words is "forty trillion, one hundred thirty-seven billion, three hundred thirteen million, six hundred seven thousand, two hundred fifty-three".