10000261457761 has 3 divisors (see below), whose sum is σ = 10000264620081. Its totient is φ = 10000258295442.

The previous prime is 10000261457743. The next prime is 10000261457819. The reversal of 10000261457761 is 16775416200001.

The square root of 10000261457761 is 3162319.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 10000261457761 - 2⁷ = 10000261457633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000261457261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1581160 + ... + 4743478.

It is an arithmetic number, because the mean of its divisors is an integer number (3333421540027).

Almost surely, 2^{10000261457761} is an apocalyptic number.

10000261457761 is the 3162319-th square number.

10000261457761 is the 1581160-th centered octagonal number.

It is an amenable number.

10000261457761 is a deficient number, since it is larger than the sum of its proper divisors (3162320).

10000261457761 is an frugal number, since it uses more digits than its factorization.

10000261457761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324638 (or 3162319 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

Adding to 10000261457761 its reverse (16775416200001), we get a palindrome (26775677657762).

The spelling of 10000261457761 in words is "ten trillion, two hundred sixty-one million, four hundred fifty-seven thousand, seven hundred sixty-one".