1461522465 has 96 divisors (see below), whose sum is σ = 2997146880. Its totient is φ = 651898368.

The previous prime is 1461522463. The next prime is 1461522473. The reversal of 1461522465 is 5642251641.

1461522465 is a `hidden beast` number, since 1 + 46 + 152 + 2 + 465 = 666.

It is not a de Polignac number, because 1461522465 - 2¹ = 1461522463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1461522463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252787 + ... + 258503.

It is an arithmetic number, because the mean of its divisors is an integer number (31220280).

Almost surely, 2^1461522465 is an apocalyptic number.

1461522465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1461522465 is an abundant number, since it is smaller than the sum of its proper divisors (1535624415).

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

1461522465 is a wasteful number, since it uses less digits than its factorization.

1461522465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783 (or 5780 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1461522465 is about 38229.8635231673. The cubic root of 1461522465 is about 1134.8413849388.

The spelling of 1461522465 in words is "one billion, four hundred sixty-one million, five hundred twenty-two thousand, four hundred sixty-five".