61001590225 has 27 divisors (see below), whose sum is σ = 77359223451. Its totient is φ = 47717502000.

The previous prime is 61001590211. The next prime is 61001590231. The reversal of 61001590225 is 52209510016.

The square root of 61001590225 is 246985.

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., 21960572481 + 39041017744 = 148191^2 + 197588^2 .

It is not a de Polignac number, because 61001590225 - 2¹⁷ = 61001459153 is a prime.

It is a super-3 number, since 3×61001590225³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58040950 + ... + 58042000.

Almost surely, 2^61001590225 is an apocalyptic number.

61001590225 is the 246985-th square number.

61001590225 is the 123493-rd centered octagonal number.

It is an amenable number.

61001590225 is a deficient number, since it is larger than the sum of its proper divisors (16357633226).

61001590225 is an frugal number, since it uses more digits than its factorization.

61001590225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 61001590225 in words is "sixty-one billion, one million, five hundred ninety thousand, two hundred twenty-five".