1253544465924 has 45 divisors (see below), whose sum is σ = 3277065532741. Its totient is φ = 417841437600.

The previous prime is 1253544465917. The next prime is 1253544465941. The reversal of 1253544465924 is 4295644453521.

The square root of 1253544465924 is 1119618.

It is a perfect power (a square), and thus also a powerful number.

1253544465924 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 5 + 4 + 4 + 46 + 592 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102644625924 + 1150899840000 = 320382^2 + 1072800^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20122024 + ... + 20184224.

Almost surely, 2^{1253544465924} is an apocalyptic number.

1253544465924 is the 1119618-th square number.

It is an amenable number.

1253544465924 is an abundant number, since it is smaller than the sum of its proper divisors (2023521066817).

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

1253544465924 is an frugal number, since it uses more digits than its factorization.

1253544465924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124418 (or 62206 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 1253544465924 in words is "one trillion, two hundred fifty-three billion, five hundred forty-four million, four hundred sixty-five thousand, nine hundred twenty-four".