47960562001 has 27 divisors (see below), whose sum is σ = 54088289577. Its totient is φ = 42494565960.

The previous prime is 47960561897. The next prime is 47960562031. The reversal of 47960562001 is 10026506974.

The square root of 47960562001 is 218999.

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

It is not a de Polignac number, because 47960562001 - 2¹⁵ = 47960529233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47960562031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103586296 + ... + 103586758.

Almost surely, 2^47960562001 is an apocalyptic number.

47960562001 is the 218999-th square number.

47960562001 is the 109500-th centered octagonal number.

It is an amenable number.

47960562001 is a deficient number, since it is larger than the sum of its proper divisors (6127727576).

47960562001 is an frugal number, since it uses more digits than its factorization.

47960562001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

It can be divided in two parts, 47960 and 562001, that added together give a square (609961 = 781²).

The spelling of 47960562001 in words is "forty-seven billion, nine hundred sixty million, five hundred sixty-two thousand, one".