1257136461 has 24 divisors (see below), whose sum is σ = 2165504640. Its totient is φ = 687129696.

The previous prime is 1257136427. The next prime is 1257136469. The reversal of 1257136461 is 1646317521.

1257136461 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 1 + 3 + 646 + 1 = 666.

It is not a de Polignac number, because 1257136461 - 2⁷ = 1257136333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257136469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432346 + ... + 435243.

It is an arithmetic number, because the mean of its divisors is an integer number (90229360).

Almost surely, 2^1257136461 is an apocalyptic number.

It is an amenable number.

1257136461 is a deficient number, since it is larger than the sum of its proper divisors (908368179).

1257136461 is a wasteful number, since it uses less digits than its factorization.

1257136461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867625 (or 867622 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1257136461 is about 35456.1202192231. The cubic root of 1257136461 is about 1079.2634612867.

The spelling of 1257136461 in words is "one billion, two hundred fifty-seven million, one hundred thirty-six thousand, four hundred sixty-one".