7560128601 has 15 divisors (see below), whose sum is σ = 11294694543. Its totient is φ = 5039564040.

The previous prime is 7560128573. The next prime is 7560128603. The reversal of 7560128601 is 1068210657.

The square root of 7560128601 is 86949.

It is a perfect power (a square), and thus also a powerful number.

7560128601 is a `hidden beast` number, since 7 + 560 + 12 + 86 + 0 + 1 = 666.

7560128601 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1565001 + 7558563600 = 1251^2 + 86940^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7560128601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7560128603) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 777711 + ... + 787371.

Almost surely, 2^7560128601 is an apocalyptic number.

7560128601 is the 86949-th square number.

7560128601 is the 43475-th centered octagonal number.

It is an amenable number.

7560128601 is a deficient number, since it is larger than the sum of its proper divisors (3734565942).

7560128601 is an frugal number, since it uses more digits than its factorization.

7560128601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19334 (or 9664 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The cubic root of 7560128601 is about 1962.6509146849.

Multiplying 7560128601 by its sum of digits (36), we get a square (272164629636 = 521694²).

It can be divided in two parts, 7560 and 128601, that added together give a square (136161 = 369²).

The spelling of 7560128601 in words is "seven billion, five hundred sixty million, one hundred twenty-eight thousand, six hundred one".