64137563162253 has 24 divisors (see below), whose sum is σ = 105909272222208. Its totient is φ = 36639170262432.

The previous prime is 64137563162209. The next prime is 64137563162279. The reversal of 64137563162253 is 35226136573146.

64137563162253 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 7 + 5 + 6 + 3 + 1 + 622 + 5 + 3 = 666.

It is not a de Polignac number, because 64137563162253 - 2³⁷ = 64000124208781 is a prime.

It is a super-2 number, since 2×64137563162253² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 64137563162253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64137563152253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150700125 + ... + 151125122.

It is an arithmetic number, because the mean of its divisors is an integer number (4412886342592).

Almost surely, 2^{64137563162253} is an apocalyptic number.

64137563162253 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

64137563162253 is a deficient number, since it is larger than the sum of its proper divisors (41771709059955).

64137563162253 is a wasteful number, since it uses less digits than its factorization.

64137563162253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301828633 (or 301828630 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 64137563162253 in words is "sixty-four trillion, one hundred thirty-seven billion, five hundred sixty-three million, one hundred sixty-two thousand, two hundred fifty-three".