1205515641 has 16 divisors (see below), whose sum is σ = 1765252800. Its totient is φ = 725709120.

The previous prime is 1205515609. The next prime is 1205515651. The reversal of 1205515641 is 1465155021.

It is not a de Polignac number, because 1205515641 - 2⁵ = 1205515609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1205515599 and 1205515608.

It is not an unprimeable number, because it can be changed into a prime (1205515651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117670 + ... + 127503.

It is an arithmetic number, because the mean of its divisors is an integer number (110328300).

Almost surely, 2^1205515641 is an apocalyptic number.

1205515641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1205515641 is a deficient number, since it is larger than the sum of its proper divisors (559737159).

1205515641 is a wasteful number, since it uses less digits than its factorization.

1205515641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245336.

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 1205515641 is about 34720.5363005815. The cubic root of 1205515641 is about 1064.2842041525.

The spelling of 1205515641 in words is "one billion, two hundred five million, five hundred fifteen thousand, six hundred forty-one".