1057250509 has 32 divisors (see below), whose sum is σ = 1258560000. Its totient is φ = 887644800.

The previous prime is 1057250501. The next prime is 1057250521. The reversal of 1057250509 is 9050527501.

It is not a de Polignac number, because 1057250509 - 2³ = 1057250501 is a prime.

It is a super-3 number, since 3×1057250509³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057250501) 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, 7001584 + ... + 7001734.

It is an arithmetic number, because the mean of its divisors is an integer number (39330000).

Almost surely, 2^1057250509 is an apocalyptic number.

It is an amenable number.

1057250509 is a deficient number, since it is larger than the sum of its proper divisors (201309491).

1057250509 is a wasteful number, since it uses less digits than its factorization.

1057250509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 34.

The square root of 1057250509 is about 32515.3888028423. The cubic root of 1057250509 is about 1018.7304816464.

The spelling of 1057250509 in words is "one billion, fifty-seven million, two hundred fifty thousand, five hundred nine".