10741519261 has 48 divisors (see below), whose sum is σ = 12833786880. Its totient is φ = 8908716960.

The previous prime is 10741519259. The next prime is 10741519277. The reversal of 10741519261 is 16291514701.

It is not a de Polignac number, because 10741519261 - 2¹ = 10741519259 is a prime.

It is a super-2 number, since 2×10741519261² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10741519261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742519261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12504250 + ... + 12505108.

It is an arithmetic number, because the mean of its divisors is an integer number (267370560).

Almost surely, 2^10741519261 is an apocalyptic number.

10741519261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10741519261 is a deficient number, since it is larger than the sum of its proper divisors (2092267619).

10741519261 is a wasteful number, since it uses less digits than its factorization.

10741519261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The spelling of 10741519261 in words is "ten billion, seven hundred forty-one million, five hundred nineteen thousand, two hundred sixty-one".