511156461340 has 48 divisors (see below), whose sum is σ = 1231141351104. Its totient is φ = 174629952000.

The previous prime is 511156461301. The next prime is 511156461349. The reversal of 511156461340 is 43164651115.

It is a happy number.

It is a super-2 number, since 2×511156461340² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 511156461340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511156461349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6457311 + ... + 6535990.

It is an arithmetic number, because the mean of its divisors is an integer number (25648778148).

Almost surely, 2^511156461340 is an apocalyptic number.

It is an amenable number.

511156461340 is an abundant number, since it is smaller than the sum of its proper divisors (719984889764).

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

511156461340 is a wasteful number, since it uses less digits than its factorization.

511156461340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12993598 (or 12993596 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 511156461340 in words is "five hundred eleven billion, one hundred fifty-six million, four hundred sixty-one thousand, three hundred forty".