251606461066450 has 72 divisors (see below), whose sum is σ = 545170824868644. Its totient is φ = 86142011760000.

The previous prime is 251606461066333. The next prime is 251606461066487. The reversal of 251606461066450 is 54660164606152.

It can be written as a sum of positive squares in 6 ways, for example, as 206858348570041 + 44748112496409 = 14382571^2 + 6689403^2 .

It is a super-2 number, since 2×251606461066450² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71532561 + ... + 74967460.

Almost surely, 2^{251606461066450} is an apocalyptic number.

251606461066450 is an abundant number, since it is smaller than the sum of its proper divisors (293564363802194).

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

251606461066450 is a wasteful number, since it uses less digits than its factorization.

251606461066450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146500748 (or 146500736 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 251606461066450 in words is "two hundred fifty-one trillion, six hundred six billion, four hundred sixty-one million, sixty-six thousand, four hundred fifty".