1253453520400 has 60 divisors (see below), whose sum is σ = 3014372547844. Its totient is φ = 500890176000.

The previous prime is 1253453520383. The next prime is 1253453520421. The reversal of 1253453520400 is 40253543521.

It can be written as a sum of positive squares in 6 ways, for example, as 71301816576 + 1182151703824 = 267024^2 + 1087268^2 .

It is a super-2 number, since 2×1253453520400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1126191 + ... + 1942990.

Almost surely, 2^{1253453520400} is an apocalyptic number.

1253453520400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253453520400 is an abundant number, since it is smaller than the sum of its proper divisors (1760919027444).

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

1253453520400 is a wasteful number, since it uses less digits than its factorization.

1253453520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070220 (or 3070209 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 1253453520400 in words is "one trillion, two hundred fifty-three billion, four hundred fifty-three million, five hundred twenty thousand, four hundred".