49528947601 has 9 divisors (see below), whose sum is σ = 57617118651. Its totient is φ = 42452048352.

The previous prime is 49528947577. The next prime is 49528947617. The reversal of 49528947601 is 10674982594.

The square root of 49528947601 is 222551.

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

It can be written as a sum of positive squares in only one way, i.e., 36720140625 + 12808806976 = 191625^2 + 113176^2 .

It is not a de Polignac number, because 49528947601 - 2¹³ = 49528939409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49528947631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1541961 + ... + 1573753.

Almost surely, 2^49528947601 is an apocalyptic number.

49528947601 is the 222551-st square number.

49528947601 is the 111276-th centered octagonal number.

It is an amenable number.

49528947601 is a deficient number, since it is larger than the sum of its proper divisors (8088171050).

49528947601 is an frugal number, since it uses more digits than its factorization.

49528947601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63600 (or 31800 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 49528947601 in words is "forty-nine billion, five hundred twenty-eight million, nine hundred forty-seven thousand, six hundred one".