253451154352 has 80 divisors (see below), whose sum is σ = 550798746624. Its totient is φ = 111979584000.

The previous prime is 253451154337. The next prime is 253451154367.

253451154352 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (253451154337) and next prime (253451154367).

It is a super-2 number, since 2×253451154352² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1890733 + ... + 2020339.

Almost surely, 2^253451154352 is an apocalyptic number.

253451154352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253451154352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275399373312).

253451154352 is an abundant number, since it is smaller than the sum of its proper divisors (297347592272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253451154352 is a wasteful number, since it uses less digits than its factorization.

253451154352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129938 (or 129932 counting only the distinct ones).

The product of its digits is 360000, while the sum is 40.

The spelling of 253451154352 in words is "two hundred fifty-three billion, four hundred fifty-one million, one hundred fifty-four thousand, three hundred fifty-two".