1252508085 has 48 divisors (see below), whose sum is σ = 2252188224. Its totient is φ = 643458816.

The previous prime is 1252508083. The next prime is 1252508093. The reversal of 1252508085 is 5808052521.

It is not a de Polignac number, because 1252508085 - 2¹ = 1252508083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252508083) 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, 136822 + ... + 145688.

It is an arithmetic number, because the mean of its divisors is an integer number (46920588).

Almost surely, 2^1252508085 is an apocalyptic number.

1252508085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1252508085 is a deficient number, since it is larger than the sum of its proper divisors (999680139).

1252508085 is a wasteful number, since it uses less digits than its factorization.

1252508085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8994 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 1252508085 is about 35390.7909631870. The cubic root of 1252508085 is about 1077.9373310647.

The spelling of 1252508085 in words is "one billion, two hundred fifty-two million, five hundred eight thousand, eighty-five".