1516261047 has 48 divisors (see below), whose sum is σ = 2522482560. Its totient is φ = 805267008.

The previous prime is 1516261037. The next prime is 1516261069. The reversal of 1516261047 is 7401626151.

It is not a de Polignac number, because 1516261047 - 2¹¹ = 1516258999 is a prime.

It is a super-3 number, since 3×1516261047³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1516260999 and 1516261017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516261037) 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, 142908 + ... + 153150.

It is an arithmetic number, because the mean of its divisors is an integer number (52551720).

Almost surely, 2^1516261047 is an apocalyptic number.

1516261047 is a deficient number, since it is larger than the sum of its proper divisors (1006221513).

1516261047 is a wasteful number, since it uses less digits than its factorization.

1516261047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10332 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1516261047 is about 38939.1967944897. The cubic root of 1516261047 is about 1148.8358848801.

Adding to 1516261047 its reverse (7401626151), we get a palindrome (8917887198).

The spelling of 1516261047 in words is "one billion, five hundred sixteen million, two hundred sixty-one thousand, forty-seven".