1252541160 has 96 divisors (see below), whose sum is σ = 4383910440. Its totient is φ = 308316672.

The previous prime is 1252541159. The next prime is 1252541189. The reversal of 1252541160 is 611452521.

1252541160 is a `hidden beast` number, since 12 + 52 + 541 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 741690756 + 510850404 = 27234^2 + 22602^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129139 + ... + 138498.

Almost surely, 2^1252541160 is an apocalyptic number.

1252541160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252541160 is an abundant number, since it is smaller than the sum of its proper divisors (3131369280).

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

1252541160 is a wasteful number, since it uses less digits than its factorization.

1252541160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267667 (or 267660 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1252541160 is about 35391.2582426791. The cubic root of 1252541160 is about 1077.9468193504.

Adding to 1252541160 its reverse (611452521), we get a palindrome (1863993681).

The spelling of 1252541160 in words is "one billion, two hundred fifty-two million, five hundred forty-one thousand, one hundred sixty".