1252417509 has 96 divisors (see below), whose sum is σ = 2251392000. Its totient is φ = 668697120.

The previous prime is 1252417499. The next prime is 1252417513. The reversal of 1252417509 is 9057142521.

1252417509 is a `hidden beast` number, since 125 + 24 + 1 + 7 + 509 = 666.

It is not a de Polignac number, because 1252417509 - 2⁷ = 1252417381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252417589) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7683462 + ... + 7683624.

It is an arithmetic number, because the mean of its divisors is an integer number (23452000).

Almost surely, 2^1252417509 is an apocalyptic number.

1252417509 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1252417509 is a deficient number, since it is larger than the sum of its proper divisors (998974491).

1252417509 is a wasteful number, since it uses less digits than its factorization.

1252417509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1252417509 is about 35389.5112851251. The cubic root of 1252417509 is about 1077.9113465072.

The spelling of 1252417509 in words is "one billion, two hundred fifty-two million, four hundred seventeen thousand, five hundred nine".