1253138058 has 12 divisors (see below), whose sum is σ = 2715132498. Its totient is φ = 417712680.

The previous prime is 1253138039. The next prime is 1253138059. The reversal of 1253138058 is 8508313521.

It can be written as a sum of positive squares in only one way, i.e., 1063607769 + 189530289 = 32613^2 + 13767^2 .

It is a super-3 number, since 3×1253138058³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1253138059) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34809373 + ... + 34809408.

Almost surely, 2^1253138058 is an apocalyptic number.

1253138058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1253138058 is an abundant number, since it is smaller than the sum of its proper divisors (1461994440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1253138058 is a wasteful number, since it uses less digits than its factorization.

1253138058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69618789 (or 69618786 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1253138058 is about 35399.6900833891. The cubic root of 1253138058 is about 1078.1180238692.

The spelling of 1253138058 in words is "one billion, two hundred fifty-three million, one hundred thirty-eight thousand, fifty-eight".