1253471625 has 128 divisors (see below), whose sum is σ = 2805304320. Its totient is φ = 539136000.

The previous prime is 1253471617. The next prime is 1253471647. The reversal of 1253471625 is 5261743521.

1253471625 is a `hidden beast` number, since 1 + 25 + 3 + 4 + 7 + 1 + 625 = 666.

It is not a de Polignac number, because 1253471625 - 2³ = 1253471617 is a prime.

It is a super-2 number, since 2×1253471625² = 3142382229360281250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1253471625.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 400065 + ... + 403185.

It is an arithmetic number, because the mean of its divisors is an integer number (21916440).

Almost surely, 2^1253471625 is an apocalyptic number.

1253471625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1253471625 is an abundant number, since it is smaller than the sum of its proper divisors (1551832695).

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

1253471625 is a wasteful number, since it uses less digits than its factorization.

1253471625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3153 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 1253471625 is about 35404.4012094542. The cubic root of 1253471625 is about 1078.2136751260.

It can be divided in two parts, 1253 and 471625, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 1253471625 in words is "one billion, two hundred fifty-three million, four hundred seventy-one thousand, six hundred twenty-five".