253614213567 has 128 divisors (see below), whose sum is σ = 473967728640. Its totient is φ = 131652864000.

The previous prime is 253614213539. The next prime is 253614213571. The reversal of 253614213567 is 765312416352.

253614213567 is a `hidden beast` number, since 2 + 5 + 3 + 61 + 4 + 21 + 3 + 567 = 666.

It is not a de Polignac number, because 253614213567 - 2¹⁰ = 253614212543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253614213767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4633017 + ... + 4687437.

It is an arithmetic number, because the mean of its divisors is an integer number (3702872880).

Almost surely, 2^253614213567 is an apocalyptic number.

253614213567 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

253614213567 is a deficient number, since it is larger than the sum of its proper divisors (220353515073).

253614213567 is a wasteful number, since it uses less digits than its factorization.

253614213567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54542 (or 54536 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 253614213567 in words is "two hundred fifty-three billion, six hundred fourteen million, two hundred thirteen thousand, five hundred sixty-seven".