1253023785 has 72 divisors (see below), whose sum is σ = 2445697800. Its totient is φ = 589906944.

The previous prime is 1253023781. The next prime is 1253023841. The reversal of 1253023785 is 5873203521.

It is a happy number.

1253023785 is a `hidden beast` number, since 12 + 530 + 2 + 37 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 1252947609 = 276^2 + 35397^2 .

It is not a de Polignac number, because 1253023785 - 2² = 1253023781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253023781) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 307441 + ... + 311489.

It is an arithmetic number, because the mean of its divisors is an integer number (33968025).

Almost surely, 2^1253023785 is an apocalyptic number.

1253023785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1253023785 is a deficient number, since it is larger than the sum of its proper divisors (1192674015).

1253023785 is a wasteful number, since it uses less digits than its factorization.

1253023785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1253023785 is about 35398.0760070374. The cubic root of 1253023785 is about 1078.0852518679.

It can be divided in two parts, 12530 and 23785, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 1253023785 in words is "one billion, two hundred fifty-three million, twenty-three thousand, seven hundred eighty-five".