1252610560 has 120 divisors (see below), whose sum is σ = 3076795260. Its totient is φ = 489037824.

The previous prime is 1252610551. The next prime is 1252610561. The reversal of 1252610560 is 650162521.

It can be written as a sum of positive squares in 2 ways, for example, as 1251461376 + 1149184 = 35376^2 + 1072^2 .

It is not an unprimeable number, because it can be changed into a prime (1252610561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11491786 + ... + 11491894.

Almost surely, 2^1252610560 is an apocalyptic number.

1252610560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538397630).

1252610560 is an abundant number, since it is smaller than the sum of its proper divisors (1824184700).

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

1252610560 is an frugal number, since it uses more digits than its factorization.

1252610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1252610560 is about 35392.2386972059. The cubic root of 1252610560 is about 1077.9667277121.

The spelling of 1252610560 in words is "one billion, two hundred fifty-two million, six hundred ten thousand, five hundred sixty".