1260517152 has 96 divisors (see below), whose sum is σ = 3497860800. Its totient is φ = 396361728.

The previous prime is 1260517151. The next prime is 1260517177. The reversal of 1260517152 is 2517150621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1260517152² = 3177806980972382208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1260517151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467424 + ... + 470112.

It is an arithmetic number, because the mean of its divisors is an integer number (36436050).

Almost surely, 2^1260517152 is an apocalyptic number.

1260517152 is a gapful number since it is divisible by the number (12) 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 1260517152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748930400).

1260517152 is an abundant number, since it is smaller than the sum of its proper divisors (2237343648).

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

1260517152 is a wasteful number, since it uses less digits than its factorization.

1260517152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 1260517152 is about 35503.7625048388. The cubic root of 1260517152 is about 1080.2300470170.

Adding to 1260517152 its reverse (2517150621), we get a palindrome (3777667773).

The spelling of 1260517152 in words is "one billion, two hundred sixty million, five hundred seventeen thousand, one hundred fifty-two".