10153126461361 has 24 divisors (see below), whose sum is σ = 11590331433984. Its totient is φ = 8876815908480.

The previous prime is 10153126461353. The next prime is 10153126461389. The reversal of 10153126461361 is 16316462135101.

It is a happy number.

It is not a de Polignac number, because 10153126461361 - 2³ = 10153126461353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10153126441361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20370676 + ... + 20863141.

It is an arithmetic number, because the mean of its divisors is an integer number (482930476416).

Almost surely, 2^{10153126461361} is an apocalyptic number.

It is an amenable number.

10153126461361 is a deficient number, since it is larger than the sum of its proper divisors (1437204972623).

10153126461361 is a wasteful number, since it uses less digits than its factorization.

10153126461361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41233921 (or 41233908 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

Adding to 10153126461361 its reverse (16316462135101), we get a palindrome (26469588596462).

The spelling of 10153126461361 in words is "ten trillion, one hundred fifty-three billion, one hundred twenty-six million, four hundred sixty-one thousand, three hundred sixty-one".