133513506025 has 9 divisors (see below), whose sum is σ = 165559012951. Its totient is φ = 106809343240.

The previous prime is 133513505981. The next prime is 133513506031. The reversal of 133513506025 is 520605315331.

The square root of 133513506025 is 365395.

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., 48064862169 + 85448643856 = 219237^2 + 292316^2 .

It is not a de Polignac number, because 133513506025 - 2⁹ = 133513505513 is a prime.

It is a super-2 number, since 2×133513506025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1790436 + ... + 1863514.

Almost surely, 2^133513506025 is an apocalyptic number.

133513506025 is the 365395-th square number.

133513506025 is the 182698-th centered octagonal number.

It is an amenable number.

133513506025 is a deficient number, since it is larger than the sum of its proper divisors (32045506926).

133513506025 is an frugal number, since it uses more digits than its factorization.

133513506025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146168 (or 73084 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 34.

It can be divided in two parts, 13351 and 3506025, that added together give a square (3519376 = 1876²).

The spelling of 133513506025 in words is "one hundred thirty-three billion, five hundred thirteen million, five hundred six thousand, twenty-five".