10499076225 has 243 divisors, whose sum is σ = 22437666979. Its totient is φ = 4869136800.

The previous prime is 10499076197. The next prime is 10499076233. The reversal of 10499076225 is 52267099401.

10499076225 = 217³ + 218³ + ... + 458³.

The square root of 10499076225 is 102465.

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

10499076225 is a `hidden beast` number, since 10 + 4 + 9 + 9 + 0 + 7 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3779667441 + 6719408784 = 61479^2 + 81972^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 10499076225 - 2¹³ = 10499068033 is a prime.

It is a super-2 number, since 2×10499076225² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 456481564 + ... + 456481586.

Almost surely, 2^10499076225 is an apocalyptic number.

10499076225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10499076225 is the 102465-th square number.

10499076225 is the 51233-rd centered octagonal number.

It is an amenable number.

10499076225 is an abundant number, since it is smaller than the sum of its proper divisors (11938590754).

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

10499076225 is an frugal number, since it uses more digits than its factorization.

10499076225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10499076225 in words is "ten billion, four hundred ninety-nine million, seventy-six thousand, two hundred twenty-five".