253145088001 has 12 divisors (see below), whose sum is σ = 274153050300. Its totient is φ = 233640538560.

The previous prime is 253145087989. The next prime is 253145088019. The reversal of 253145088001 is 100880541352.

It can be written as a sum of positive squares in 6 ways, for example, as 23585280625 + 229559807376 = 153575^2 + 479124^2 .

It is not a de Polignac number, because 253145088001 - 2⁵ = 253145087969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253145088601) 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, 1189675 + ... + 1386223.

It is an arithmetic number, because the mean of its divisors is an integer number (22846087525).

Almost surely, 2^253145088001 is an apocalyptic number.

It is an amenable number.

253145088001 is a deficient number, since it is larger than the sum of its proper divisors (21007962299).

253145088001 is a wasteful number, since it uses less digits than its factorization.

253145088001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204196 (or 204183 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 253145088001 in words is "two hundred fifty-three billion, one hundred forty-five million, eighty-eight thousand, one".