1253577852 has 36 divisors (see below), whose sum is σ = 3170440000. Its totient is φ = 417638592.

The previous prime is 1253577847. The next prime is 1253577859. The reversal of 1253577852 is 2587753521.

1253577852 is a `hidden beast` number, since 1 + 25 + 3 + 577 + 8 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1253577798 and 1253577807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253577859) 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, 69024 + ... + 85272.

Almost surely, 2^1253577852 is an apocalyptic number.

1253577852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1253577852 is an abundant number, since it is smaller than the sum of its proper divisors (1916862148).

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

1253577852 is a wasteful number, since it uses less digits than its factorization.

1253577852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18402 (or 18397 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 1253577852 is about 35405.9013725113. The cubic root of 1253577852 is about 1078.2441324485.

The spelling of 1253577852 in words is "one billion, two hundred fifty-three million, five hundred seventy-seven thousand, eight hundred fifty-two".