1257605025 has 48 divisors (see below), whose sum is σ = 2145844800. Its totient is φ = 649416960.

The previous prime is 1257605021. The next prime is 1257605051. The reversal of 1257605025 is 5205067521.

It is not a de Polignac number, because 1257605025 - 2² = 1257605021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1257605021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634486 + ... + 636464.

It is an arithmetic number, because the mean of its divisors is an integer number (44705100).

Almost surely, 2^1257605025 is an apocalyptic number.

1257605025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1257605025 is a deficient number, since it is larger than the sum of its proper divisors (888239775).

1257605025 is a wasteful number, since it uses less digits than its factorization.

1257605025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 1257605025 is about 35462.7272639880. The cubic root of 1257605025 is about 1079.3975334960.

The spelling of 1257605025 in words is "one billion, two hundred fifty-seven million, six hundred five thousand, twenty-five".