1257153345 has 32 divisors (see below), whose sum is σ = 2554218240. Its totient is φ = 574698240.

The previous prime is 1257153283. The next prime is 1257153347. The reversal of 1257153345 is 5433517521.

1257153345 is a `hidden beast` number, since 1 + 2 + 571 + 53 + 34 + 5 = 666.

It is not a de Polignac number, because 1257153345 - 2⁷ = 1257153217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1257153347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664216 + ... + 666105.

It is an arithmetic number, because the mean of its divisors is an integer number (79819320).

Almost surely, 2^1257153345 is an apocalyptic number.

1257153345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1257153345 is an abundant number, since it is smaller than the sum of its proper divisors (1297064895).

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

1257153345 is a wasteful number, since it uses less digits than its factorization.

1257153345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330342 (or 1330336 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 1257153345 is about 35456.3583155405. The cubic root of 1257153345 is about 1079.2682929559.

The spelling of 1257153345 in words is "one billion, two hundred fifty-seven million, one hundred fifty-three thousand, three hundred forty-five".