253868812101 has 12 divisors (see below), whose sum is σ = 379344202380. Its totient is φ = 163409809920.

The previous prime is 253868812073. The next prime is 253868812123. The reversal of 253868812101 is 101218868352.

253868812101 is a `hidden beast` number, since 2 + 538 + 6 + 8 + 8 + 1 + 2 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125883749601 + 127985062500 = 354801^2 + 357750^2 .

It is not a de Polignac number, because 253868812101 - 2⁹ = 253868811589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253868812801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486338460 + ... + 486338981.

It is an arithmetic number, because the mean of its divisors is an integer number (31612016865).

Almost surely, 2^253868812101 is an apocalyptic number.

It is an amenable number.

253868812101 is a deficient number, since it is larger than the sum of its proper divisors (125475390279).

253868812101 is a wasteful number, since it uses less digits than its factorization.

253868812101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972677476 (or 972677473 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 253868812101 in words is "two hundred fifty-three billion, eight hundred sixty-eight million, eight hundred twelve thousand, one hundred one".