10526554801 has 9 divisors (see below), whose sum is σ = 12246011499. Its totient is φ = 9022145664.

The previous prime is 10526554789. The next prime is 10526554807. The reversal of 10526554801 is 10845562501.

The square root of 10526554801 is 102599.

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., 10480640625 + 45914176 = 102375^2 + 6776^2 .

It is not a de Polignac number, because 10526554801 - 2⁷ = 10526554673 is a prime.

It is a super-2 number, since 2×10526554801² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10526554807) 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, 710865 + ... + 725521.

Almost surely, 2^10526554801 is an apocalyptic number.

10526554801 is the 102599-th square number.

10526554801 is the 51300-th centered octagonal number.

It is an amenable number.

10526554801 is a deficient number, since it is larger than the sum of its proper divisors (1719456698).

10526554801 is an frugal number, since it uses more digits than its factorization.

10526554801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29328 (or 14664 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 10526554801 in words is "ten billion, five hundred twenty-six million, five hundred fifty-four thousand, eight hundred one".