10151220506461 has 8 divisors (see below), whose sum is σ = 10290508926264. Its totient is φ = 10011938319360.

The previous prime is 10151220506447. The next prime is 10151220506477. The reversal of 10151220506461 is 16460502215101.

It can be written as a sum of positive squares in 4 ways, for example, as 1185202368900 + 8966018137561 = 1088670^2 + 2994331^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10151220506461 - 2²³ = 10151212117853 is a prime.

It is a super-3 number, since 3×10151220506461³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151220506431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1770015 + ... + 4841011.

It is an arithmetic number, because the mean of its divisors is an integer number (1286313615783).

Almost surely, 2^{10151220506461} is an apocalyptic number.

It is an amenable number.

10151220506461 is a deficient number, since it is larger than the sum of its proper divisors (139288419803).

10151220506461 is an equidigital number, since it uses as much as digits as its factorization.

10151220506461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116351.

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 10151220506461 in words is "ten trillion, one hundred fifty-one billion, two hundred twenty million, five hundred six thousand, four hundred sixty-one".